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Finding the Fourth Proportional to 2,231.30, 3,346.96 and 770.44

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Solution

The fourth proportional to 2,231.30, 3,346.96 and 770.44 is: 1,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.30 : 3,346.96 = 770.44 : x
  2. Step 2: Convert to fraction form
    2,231.30/3,346.96 = 770.44/x
  3. Step 3: Cross multiply
    2,231.30x = 3,346.96 × 770.44
  4. Step 4: Simplify right side
    2,231.30x = 2,578,631.86
  5. Step 5: Solve for x
    x = 2,578,631.86/2,231.30
  6. Step 6: Final answer
    x = 1,155.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.